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Add 35/75 and 27/32

35/75 + 27/32 is 629/480.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 32 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    35/75 = 35 × 32/75 × 32 = 1120/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    27/32 = 27 × 75/32 × 75 = 2025/2400
  4. Add the two like fractions:
    1120/2400 + 2025/2400 = 1120 + 2025/2400 = 3145/2400
  5. 3145/2400 simplified gives 629/480
  6. So, 35/75 + 27/32 = 629/480
    In mixed form: 1149/480

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